Algebra IA

Specific subject areas of study include a review of elementary algebra, number systems and set notation, linear and absolute value functions, equations and inequalities, systems of linear equations, inequalities, nonlinear systems, radicals and complex numbers, quadratic functions, equations and inequalities, rational expressions and equations, and function notation. The graphing calculator is introduced and used frequently throughout the course.

Algebra

Specific subject areas of study include a review of elementary algebra, number systems and set notation, linear and absolute value functions, equations and inequalities, systems of linear equations, inequalities, nonlinear systems, radicals, quadratic functions, equations, rational expressions and equations, and function notation. Time is allowed for individualized instruction.

MATH IIA: GEOMETRY

This course develops geometry as a system of logical reasoning using clear definitions, postulates, theorems and corollaries to foster creative and critical thinking. Geometric elements, structure and relationships are presented and integrated with algebra, trigonometry, logic and arithmetic. Deductive reasoning is introduced and applied to geometry to develop formal mathematical proofs. The topics of congruence, parallelism, quadrilaterals, circles, similarity, areas, regular polygons, coordinate geometry and locus are studied from geometric, algebraic and graphic perspectives for the improvement of reasoning. This course amply covers all the geometry necessary for achievement on the SAT I.

Permutations and Combinations

Students learn how to compute the number of possible arrangements we can make within a particular group of items with and without regard to the order in which the items appear in each arrangement. Students also calculate the probabilities of particular arrangements occurring. Students will work with simple arrangements such as rolling dice and drawing cards as well as with more complex arrangements such as license plates and telephone numbers.

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